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Percolation universality class

Physics Asked on October 29, 2021

There’s very good table of different universality classes:

Ising model lies in the same universality class with $phi^4$ theory.
Ising in $d≥4$ have critical exponents for free scalar field.

But I don’t know field theories, which belong the percolation universality class. So I have few questions:

  1. Which field theories belong in percolation universality classes?

  2. What is percolation CFT?

  3. What is field theory, that have "mean field" values for percolation universality class in $d≥6$?

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